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Simplifying 3(2p + -1) + 2(5 + -10) = 8p + 9 Reorder the terms: 3(-1 + 2p) + 2(5 + -10) = 8p + 9 (-1 * 3 + 2p * 3) + 2(5 + -10) = 8p + 9 (-3 + 6p) + 2(5 + -10) = 8p + 9 Combine like terms: 5 + -10 = -5 -3 + 6p + 2(-5) = 8p + 9 Multiply 2 * -5 -3 + 6p + -10 = 8p + 9 Reorder the terms: -3 + -10 + 6p = 8p + 9 Combine like terms: -3 + -10 = -13 -13 + 6p = 8p + 9 Reorder the terms: -13 + 6p = 9 + 8p Solving -13 + 6p = 9 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -13 + 6p + -8p = 9 + 8p + -8p Combine like terms: 6p + -8p = -2p -13 + -2p = 9 + 8p + -8p Combine like terms: 8p + -8p = 0 -13 + -2p = 9 + 0 -13 + -2p = 9 Add '13' to each side of the equation. -13 + 13 + -2p = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -2p = 9 + 13 -2p = 9 + 13 Combine like terms: 9 + 13 = 22 -2p = 22 Divide each side by '-2'. p = -11 Simplifying p = -11
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